Question 875886
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi
Completing the Square: Need to Know b/2a and -(b/2a)^2
2(x+8)^2 - 128 + 6(y-4)^2 - 96 + 212 = 0
2(x+8)^2 + 6(y-4)^2 =12
(x+8)^2/6 + (y-4)^2/2 =1
center, (-8,4)
the major axis: y = 4
the minor axis:  x = -8
distance from the center to the foci: c = sqrt(8) = 2&#8730;2
Need to Know...............................................................
Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}} 
Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Standard Form of an Equation of an Hyperbola opening up and down is:{{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} 
Standard Form of an Equation of an Hyperbola opening right and  left is:{{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
the vertex form of a Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}}
 the vertex form of a Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}